111312212011313 has 2 divisors, whose sum is σ = 111312212011314. Its totient is φ = 111312212011312.

The previous prime is 111312212011277. The next prime is 111312212011327. The reversal of 111312212011313 is 313110212213111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56898161489569 + 54414050521744 = 7543087^2 + 7376588^2 .

It is a cyclic number.

It is not a de Polignac number, because 111312212011313 - 2⁶ = 111312212011249 is a prime.

It is not a weakly prime, because it can be changed into another prime (111312212011613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656106005656 + 55656106005657.

It is an arithmetic number, because the mean of its divisors is an integer number (55656106005657).

Almost surely, 2^{111312212011313} is an apocalyptic number.

It is an amenable number.

111312212011313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111312212011313 is an equidigital number, since it uses as much as digits as its factorization.

111312212011313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 111312212011313 its reverse (313110212213111), we get a palindrome (424422424224424).

The spelling of 111312212011313 in words is "one hundred eleven trillion, three hundred twelve billion, two hundred twelve million, eleven thousand, three hundred thirteen".